Quantum theory of a nematic Fermi fluid

  title={Quantum theory of a nematic Fermi fluid},
  author={Vadim Oganesyan and Steven A. Kivelson and Eduardo Fradkin},
  journal={Physical Review B},
We develop a microscopic theory of the electronic nematic phase proximate to an isotropic Fermi liquid in both two and three dimensions. Explicit expressions are obtained for the small amplitude collective excitations in the ordered state; remarkably, the nematic Goldstone mode (the director wave) is overdamped except along special directions dictated by symmetry. At the quantum critical point we find a dynamical exponent of $z=3,$ implying stability of the Gaussian fixed point. The leading… 
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